The pair "reaffirmed their commitment to achieving the final, fully verified denuclearisation" of North Korea, Trump's spokeswoman Sarah Sanders said. Both countries are non-permanent members of the UN Security Council, and the Netherlands also sits on the North Korea Sanctions committee.
"The message is that President Trump has very favourable views towards Chairman Kim and he likes him", Mr Moon told reporters aboard a flight from Argentina to New Zealand, where he started a three-day state visit on Sunday. Trump told reporters travelling home to Washington with him aboard Air Force One from Argentina that "three sites" were in consideration for the meeting, a follow-up to their historic summit in Singapore in June.
"There is a possibility that Chairman Kim Jong-un's visit to Seoul may be made within this year, but there's more important things than the timing", he said in translated remarks during a visit to New Zealand.
Moon has also facilitated a series of high-level talks between the USA and North Korea, including a summit between Trump and Kim in June. When asked last Saturday if he would ever host the North Korean leader in the US, Mr Trump replied: "At some point, yeah". After their third meeting in Pyongyang, North Korea's capital, in September, Moon said Kim agreed to make a reciprocal visit to Seoul this year.
In this undated photo released Monday, Dec. 3, 2018, by the North Korean government, North Korean leader Kim Jong Un, center, visits the Wonsan Shoes Factory in Gangwon, North Korea. Their two previous summits were held at the countries' shared border village of Panmunjom.More news: Epic Games to take on Steam with its own digital games store
If that happens, he would be the first North Korean leader to do so since the end of the 1950-1953 Korean War, though the plan is still unclear. Also, working on his North Korea diplomacy, the president met with the leaders of the Netherlands and South Afirca.
Trump said on Saturday that he hoped to organise a second summit with Kim in early 2019.
"I think it will be absolutely imperative in this next summit that we come away with a plan for identifying all of the weapons in question, identifying all the development sites, allowing for inspections of the sites and the plan for dismantling nuclear weapons", Pence said.
Ban said he hopes their second summit will occur at a time when the worldwide community feels confident about North Korea's commitment to denuclearisation.